摘要
针对高超声速飞行器多目标再入轨迹优化问题,建立了滑翔式飞行器的三维再入动力学模型和气动力模型,构建了物理规划方法求解多目标优化问题的数学模型,并针对伪谱法运算特点对物理规划方法提出了改进方案。在考虑飞行器的过载、动压、驻点热流和角度变化率等多种约束条件下,运用hp自适应伪谱法分别求解了以时间最短、横程最大、总气动加热最小和热流密度峰值最小为目标的再入最优轨迹问题。利用各单目标指标建立物理规划框架,确定具体的偏好结构。在物理规划的框架下,运用hp自适应伪谱法对体现设计者偏好的多目标轨迹优化问题进行了数字仿真。结果表明,改进的物理规划方法能够较好地与hp自适应伪谱法结合,有效地对多目标问题进行折中求解。
Aimed at the multi-objective optimization characteristics of reentry trajectory of the hypersonic gliding vehicle, three degree-of-freedom kinetic gliding reentry model and pneumatic model are estab- lished. The fundamental model of solving multi-objective optimization with physical programming is intro- duced, and advanced measure is put forward based on the operation characteristics of pseudospectral method. Considering constrains of normal load, dynamic pressure, head point heat and so on, hp adap- tive pseudospectral method is used to solve the optimization problem of glide reentry trajectory, in which four objectives： minimum time, maximum cross-range, minimum aerodynamic heating and minimum peak value of heating rate are taken into account. The physical programming frame and preference structure is determined with analysis of the results of single objective optimization. Simulation of multi-objective traj- ectory optimization, which represented the preference of designer, is made by using hp adaptive pseudospectral method in the physical programming frame. The results show that the advanced physical programming method would combine well with the hp adaptive pseudospectral method, which could give an compromise answer for the multi-objective problem.
出处
《飞行力学》
CSCD
北大核心
2014年第2期149-154,共6页
Flight Dynamics
基金
航空科学基金资助(20105196016)
关键词
多目标
再入轨迹优化
物理规划
multi-objective
reentry trajectory optimization
physical programming
